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Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter

Published online by Cambridge University Press:  15 April 2002

Michael S. Vogelius  and
Darko Volkov
Michael S. Vogelius
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA. (vogelius@hilbert.rutgers.edu)
Darko Volkov
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA. (dvolkov@math.rutgers.edu)
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Abstract

We consider solutions to the time-harmonic Maxwell's Equations of a TE (transverse electric) nature. For such solutions we provide a rigorous derivation of the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. We expect that these formulas will form the basis for very effective computational identification algorithms, aimed at determining information about the inhomogeneities from electromagnetic boundary measurements.

Keywords

Maxwell equationsinverse problems.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 4 , July 2000 , pp. 723 - 748
Copyright
© EDP Sciences, SMAI, 2000

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